`1)`
`5x + 3(x + 4) > 6x + 6`
`⇔ 5x + 3x + 12 > 6x + 6`
`⇔ 2x > -6`
`⇒ x > -3`
`2)`
`a)`
`2x - 13 = 15 - 12x`
`⇔ 2x + 12x = 15 + 13`
`⇔ 14x = 28`
`⇔ x = 2`
`b)`
`(x + 2)(3x - 5) = 2(x^2 - 2)`
`⇔ 3x^2 - 5x + 6x - 10 = 2x^2 - 4`
`⇔ 3x^2 - 2x^2 + x - 6 = 0`
`⇔ x^2 + x - 6 = 0`
`⇔ x^2 + 2 . x . 1/2 + 1/4 - 1/4 - 6 = 0`
`⇔ (x + 1/2)^2 = 25/4`
`⇒` \(\left[ \begin{array}{l}x + 1/2 = 5/2\\x + 1/2 = -5/2\end{array} \right.\)
`⇒` \(\left[ \begin{array}{l}x = 2\\x = -3\end{array} \right.\)